| Euclides - 1874 - 120 pages
...the lines. PROPOSITION 6. THEOREM. If a straight line be bisected, and produced to any point, t7ie rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...parts shall be equal to a given square. _ When is the problem impossible ? 16. Produce a given line, so that the rectangle contained by the whole line thus produced, and the given Hue, may be equal to a given square. 17. The square on the base of an isosceles triangle is equal... | |
| alexander thom - 1875 - 758 pages
...\8H.—Morning. Professor ALLMAN, LL.D. 1. If a straight line be bisected and produced to any point, prove that the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the line which is made... | |
| Edward Atkins - 1876 - 130 pages
...and difference. Proposition 6.— Theorem. If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the, square on the straight line which... | |
| Henry Major - 1876 - 784 pages
...Same exercise as that set for candidates. 1. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which... | |
| Medicine - 1876 - 610 pages
...those straight lines shall be parallel. 4. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of half the line bisected, is equal to the square of the line made up of the... | |
| Education Department,London - 1876 - 1010 pages
...contained by the whole and that part, together with the square on the other part. Produce a given line so that the rectangle contained by the whole line thus produced and the part produced may be equal to the square on half the line. SECTION П. 1. If in a circle two straight lines... | |
| Robert Potts - Geometry - 1876 - 446 pages
...with the rectangle BE, DF is equal to the parallelogram A C. IL 19. Shew how to produce a given line, so that the rectangle contained by the whole line thus produced, and the produced part, shall he equal to the square (1) on the given line (2) oh the part produced. 20. If... | |
| D. Tierney - 1877 - 126 pages
...multiple of the square on AB, may be found. 4. If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which... | |
| Samuel H. Winter - 1877 - 452 pages
...point. Show that the height of the tower in feet is — =. XL VII. 1. Produce a given straight line so that the rectangle contained by the whole line thus produced, and the part produced, shall be equal to the square on the given line. 2. If any number of equal straight lines... | |
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